Book contents
- Frontmatter
- Contents
- Preface
- Physical constants
- 1 Basic formalism
- 2 Fundamental commutator and time evolution of state vectors and operators
- 3 Dynamical equations
- 4 Free particles
- 5 Particles with spin ½
- 6 Gauge invariance, angular momentum, and spin
- 7 Stern–Gerlach experiments
- 8 Some exactly solvable bound-state problems
- 9 Harmonic oscillator
- 10 Coherent states
- 11 Two-dimensional isotropic harmonic oscillator
- 12 Landau levels and quantum Hall effect
- 13 Two-level problems
- 14 Spin ½ systems in the presence of magnetic fields
- 15 Oscillation and regeneration in neutrinos and neutral K-mesons as two-level systems
- 16 Time-independent perturbation for bound states
- 17 Time-dependent perturbation
- 18 Interaction of charged particles and radiation in perturbation theory
- 19 Scattering in one dimension
- 20 Scattering in three dimensions – a formal theory
- 21 Partial wave amplitudes and phase shifts
- 22 Analytic structure of the S-matrix
- 23 Poles of the Green's function and composite systems
- 24 Approximation methods for bound states and scattering
- 25 Lagrangian method and Feynman path integrals
- 26 Rotations and angular momentum
- 27 Symmetry in quantum mechanics and symmetry groups
- 28 Addition of angular momenta
- 29 Irreducible tensors and Wigner–Eckart theorem
- 30 Entangled states
- 31 Special theory of relativity: Klein–Gordon and Maxwell's equations
- 32 Klein–Gordon and Maxwell's equations
- 33 The Dirac equation
- 34 Dirac equation in the presence of spherically symmetric potentials
- 35 Dirac equation in a relativistically invariant form
- 36 Interaction of a Dirac particle with an electromagnetic field
- 37 Multiparticle systems and second quantization
- 38 Interactions of electrons and phonons in condensed matter
- 39 Superconductivity
- 40 Bose–Einstein condensation and superfluidity
- 41 Lagrangian formulation of classical fields
- 42 Spontaneous symmetry breaking
- 43 Basic quantum electrodynamics and Feynman diagrams
- 44 Radiative corrections
- 45 Anomalous magnetic moment and Lamb shift
- Bibliography
- Index
24 - Approximation methods for bound states and scattering
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Physical constants
- 1 Basic formalism
- 2 Fundamental commutator and time evolution of state vectors and operators
- 3 Dynamical equations
- 4 Free particles
- 5 Particles with spin ½
- 6 Gauge invariance, angular momentum, and spin
- 7 Stern–Gerlach experiments
- 8 Some exactly solvable bound-state problems
- 9 Harmonic oscillator
- 10 Coherent states
- 11 Two-dimensional isotropic harmonic oscillator
- 12 Landau levels and quantum Hall effect
- 13 Two-level problems
- 14 Spin ½ systems in the presence of magnetic fields
- 15 Oscillation and regeneration in neutrinos and neutral K-mesons as two-level systems
- 16 Time-independent perturbation for bound states
- 17 Time-dependent perturbation
- 18 Interaction of charged particles and radiation in perturbation theory
- 19 Scattering in one dimension
- 20 Scattering in three dimensions – a formal theory
- 21 Partial wave amplitudes and phase shifts
- 22 Analytic structure of the S-matrix
- 23 Poles of the Green's function and composite systems
- 24 Approximation methods for bound states and scattering
- 25 Lagrangian method and Feynman path integrals
- 26 Rotations and angular momentum
- 27 Symmetry in quantum mechanics and symmetry groups
- 28 Addition of angular momenta
- 29 Irreducible tensors and Wigner–Eckart theorem
- 30 Entangled states
- 31 Special theory of relativity: Klein–Gordon and Maxwell's equations
- 32 Klein–Gordon and Maxwell's equations
- 33 The Dirac equation
- 34 Dirac equation in the presence of spherically symmetric potentials
- 35 Dirac equation in a relativistically invariant form
- 36 Interaction of a Dirac particle with an electromagnetic field
- 37 Multiparticle systems and second quantization
- 38 Interactions of electrons and phonons in condensed matter
- 39 Superconductivity
- 40 Bose–Einstein condensation and superfluidity
- 41 Lagrangian formulation of classical fields
- 42 Spontaneous symmetry breaking
- 43 Basic quantum electrodynamics and Feynman diagrams
- 44 Radiative corrections
- 45 Anomalous magnetic moment and Lamb shift
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- Quantum Mechanics with Basic Field Theory , pp. 450 - 468Publisher: Cambridge University PressPrint publication year: 2009